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Name _____________________________________________________________ Date __________ Periods _________
Divisibility Rules (text pages 176-177)
Fill in the table carefully. Use divisibility rules to help you decide if each number is divisible by 2, 3, 4, 5, 6, 8, 9, and 10.
Write YES or NO in each box. (You may NOT use a calculator and you should not actually solve any division problems.)
Divisible by
2
3
4
5
6
9
10
24
60
79
9,000
Solve.
Write a three-digit number that is divisible by 3 and 5, but not divisible by 10. ______________
Write a three-digit number that is divisible by 2 and 9, but not divisible by 5. ______________
If a number is divisible by 8, what other numbers would it also divisible by? ______________
Divisibility Rules (You must know these for tests and quizzes.)
Here are the divisibility rules that we have discussed:
A number is divisible by 2 if the number is even. Even numbers end in 0, 2, 4, 6, or 8.
A number is divisible by 5 if the ones place is a 0 or a 5.
A number is divisible by 10 if the ones place is a 0.
A number is divisible by 4 if the last two digits (tens and ones) are divisible by 4.
A number is divisible by 3 if the sum of its digits is divisible by 3. For example, 132 is divisible by 3 because 1 + 3 + 2 = 6
and 6 is divisible by 3 so 132 is also divisible by 3.)
A number is divisible by 9 if the sum of its digits is divisible by 9. For example, 981 is divisible by 9 because 9 + 8 + 1 = 18
and 18 is divisible by 9 so 981 is also divisible by 9.)
A number is divisible by 6 if it is divisible by both 2 and 3.